Geminate-ion escape probability for arbitrary mean free path: Use of the Metropolis method

Abstract

Of the various methods of improving the Onsager theory of geminate electron–ion recombination for arbitrary mean free path, an especially promising one involves the use of the Metropolis rejection criterion [A. Mozumder, Radiat. Phys. Chem. 72 (2005) 73; 74 (2005) 227]. The present Letter further includes the effect of finite reaction probability at the reaction radius by a tridiagonal matrix method. Model calculations suggest usefulness when the overall mobility exceeds ∼1cm2V−1s−1. Variations of the escape probability with mean free path, initial separation and final reaction rate are discussed.